What is the Greatest Common Factor of 48512 and 48516?

Greatest common factor (GCF) of 48512 and 48516 is 4.

GCF(48512,48516) = 4

We will now calculate the prime factors of 48512 and 48516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48512 and 48516.

How to find the GCF of 48512 and 48516?

We will first find the prime factorization of 48512 and 48516. After we will calculate the factors of 48512 and 48516 and find the biggest common factor number .

Step-1: Prime Factorization of 48512

Prime factors of 48512 are 2, 379. Prime factorization of 48512 in exponential form is:

48512 = 2⁷ × 379¹

Step-2: Prime Factorization of 48516

Prime factors of 48516 are 2, 3, 13, 311. Prime factorization of 48516 in exponential form is:

48516 = 2² × 3¹ × 13¹ × 311¹

Step-3: Factors of 48512

List of positive integer factors of 48512 that divides 48512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 379, 758, 1516, 3032, 6064, 12128, 24256

Step-4: Factors of 48516

List of positive integer factors of 48516 that divides 48512 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 311, 622, 933, 1244, 1866, 3732, 4043, 8086, 12129, 16172, 24258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48512 and 48516. The biggest common factor number is the GCF number.
So the greatest common factor 48512 and 48516 is 4.

Also check out the Least Common Multiple of 48512 and 48516